In this work we deal with vector bundles of rank two on a Fano manifold X with second and
fourth Betti numbers equal to one. We study the nef and pseudoeffective cones of the …

Fano 5-folds with nef tangent bundles and Picard numbers greater than one | SpringerLink Skip
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We prove that the derived category of a smooth complete intersection variety is equivalent to
a full subcategory of the derived category of a smooth projective Fano variety. This enables …

A line bundle over a complex projective variety is called big and 1-ample if a large multiple
of it is generated by global sections and a morphism induced by the evaluation of the …

In this paper we investigate projective 4-dimensional manifolds X whose tangent bundles TX
are numerically effective and give an almost complete classification. An important technical …

Uniform vector bundles on Fano manifolds and applications Page 1 J. reine angew. Math. 664
(2012), 141—162 DOI 10.1515/CRELLE.2011.103 Journal für die reine und angewandte …

In view of Mori theory, rational homogenous manifolds satisfy a recursive condition: every
elementary contraction is a rational homogeneous fibration, and the image of any …

Ruled Fano Fivefolds of Index Two Page 1 Ruled Fano Fivefolds of Index Two Carla Novelli
and Gianluca Occhetta ABSTRACT. We classify Fano fivefolds of index two which are …

Fano n-folds with nef tangent bundle and Picard number greater than $$n-5$$ | SpringerLink
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We study vector bundles on flag varieties over an algebraically closed field k. In the first part,
we suppose G= G k (d, n) G=G_k(d,n) (2≤ d≤ n− d) (2≤d≤nd) to be the Grassmannian …